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Simplifying 3 + -1i = 2xi + 3 Reorder the terms: 3 + -1i = 3 + 2ix Add '-3' to each side of the equation. 3 + -3 + -1i = 3 + -3 + 2ix Combine like terms: 3 + -3 = 0 0 + -1i = 3 + -3 + 2ix -1i = 3 + -3 + 2ix Combine like terms: 3 + -3 = 0 -1i = 0 + 2ix -1i = 2ix Solving -1i = 2ix Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2ix' to each side of the equation. -1i + -2ix = 2ix + -2ix Combine like terms: 2ix + -2ix = 0 -1i + -2ix = 0 Factor out the Greatest Common Factor (GCF), '-1i'. -1i(1 + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
i = {0}
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